The German unemployment rate shows strong signs if non-stationarity over the course of the previous decades. This is in line with an insider-outsider model under full hysteresis. We applied a "theory-guided view" to the data using the structural VAR model as developed by Balmaseda, Dolado and López-Salido (2000) allowing for full hysteresis on the labour market. Our identification of the model implies long-lasting output gaps for Germany – especially for the disinflation period of the 1980s.